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A tightrope is stretched 30 ft above the ground between Building 1(at point A) and Building 2( point B), which are 50 ft apart.
A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude of 9 km and climbs at an angle of 40 degrees
At noon, ship A is 60 nautical miles due west of ship B. Ship A is sailing west at 19 knots and ship B is sailing north at 25 knots.
Finding the Centroid of a Triangle. Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians
Use a graphing utility to graph f and g in the same window and determine which is increasing at the faster rate for "large" values of x.
In an autocatalytic chemical reaction, the product formed is a catalyst for the reaction. If Q sub zero is the amount of the original substance
Non-Euclidean Geometry on a Sphere. Suppose instead of working on the Euclidean plane we study geometry on a sphere in (Euclidean) three space
Sketch a graph of a function f have the indicated characteristics. Please explain.
S represents weekly sales of a product. What can be said of S' and S'' for each of the following? (a) the rate of change of sales is increasing
Find the measures of the three angles to the nearest degree.
Angles in a triangle. In a triangle the sum of the angles is 180 degrees. If Angle A is four times Angle B and Angle C is 27 degrees more than three times Angle
Determine an equation for the line tangent to the graph of y= xe^x at the point on the graph were x=2
It costs Sugarco 25 cents/lb to purchase the first 100 lb of sugar 20 cents/lb to purchase the next 100 lb and 15 cents to buy each additional pound.
Describe the relationship between a triangle's centroid and orthocenter. Do they need to be inside the triangle?
The U. S. Postal Service will accept a box for domestic shipment only if the sum of its length and girth (distance around) does not exceed 108
Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle
A rectangular package can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum
A person's fortune increases at a rate to the square of they're present wealth. If the person had one million dollars a year ago and has two million today
Is there a vector r such that the directional derivative of f at (1,1,0) in the direction of r equals 1? If there is, find one such vector. If not, explain why
Finding angle and length of a post out of alignment using Geometry. A 5 foot post is supposed to be vertical, but it is 4 inches out of alignment at the top.
Prove that the Hyperbolic Rectangle Does Not Exist. Using the Universal Hyperbolic Theorem we can show that the sum of the angles
Use definitions of hyperbolic functions to find each. 1) lim as x approached infinity tanh x
Proof involving congruent triangles. Write a two column proof for the following.
Use logarithmic differentiation to find the derivative of the function.
Proof for the triangle. Prove the following theorem: If the circumcenter of a triangle lies on a median of that triangle